In a solid cube made up of smaller black and white cubes. The black and white cubes are at alternate places of the larger cube. How many black cubes are there in the above arrangement?
Answers
There are 168 black cubes in the arranagement.
A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.
To get the number of black cubes in the arrangement, we will use the equation below;
Number of black cubes = Total number of black cubes on a face * number of small cubes along the edgeNumber of black cubes = 24 * 7Number of black cubes = 168Hence there are 168 black cubes in the arrangement.
Learn more about cubes at https://brainly.com/question/1972490
Related Questions
Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”
Answers
Answer:
You already know the answer is -108
Step-by-step explanation:
There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us
x^2 - 6x +9
Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So
-54x + -54x is the -108x term you are interested in.
26 30 45 43 26 14 28 33 56 29 what is the medain of this data set
Answers
Answer:
26isthemedian
Step-by-step explanation:
On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.
Answers
Answer:
1759.6
Step-by-step explanation:
8.3 multiplied by 212 i think
What is the answer I’ll rate you 5
Answers
The equation of the line is [tex]y=8[/tex]
To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]
[tex]y-y_0=m(x-x_0)[/tex]
For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]
substituting the required values, we have
[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]
The required equation is [tex]y=8[/tex]
Learn more here: https://brainly.com/question/1690609
what is 5 over 4 in math
Answers
Answer:
An improper fraction
Step-by-step explanation:
In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)
Who has the shorter insect?
Answers
Confused on both 9 and 10 please help
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10. I couldn’t see the side of this one but I hope 9 helped :)
What is the value of z?
Answers
Hence X* = 55*, then Z* = 55*
Which equation choice could represent the graph shown below?
Answers
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.
The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.
a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.
b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.
Answers
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
what percent of 81 is 51
Answers
Answer:
62.96%
Step-by-step explanation:
do this
51/81 ×100%
Answer:62.953%
Step-by-step explanation:
81 * (%) = 51
% = 51 / 81
% = 62.953
Please help with this question!!!!
Answers
Answer:
what is your question ?
Step-by-step explanation:
10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer
Answers
Answer:
$175.45
Step-by-step explanation:
8.25 / 0.75 = 11
15.95 x 11 = 175.45
Fill in the table. What is the distance that David traveled going to his friend’s house and returning home?
Answers
Answer:12 and 12 hope this helps :)
Step-by-step explanation:
Answer:
mark her brialyist i cant spell lol
Step-by-step explanation:
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
1
Answers
Answer:
The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.
Answer:
answer was 3
Step-by-step explanation:
just did the test
Kennyhas$893inasavingsaccount.The interest rate is 8 1/5%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Answers
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]
Answer:
$431.30(approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
36 ÷ ____ = 9 15 points
Answers
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
The prices of some houses in a neighborhood are shown below: House Price A $120,000 B $130,000 C $140,000 D $150,000 E $1,110,000 Based on the data, should the mean or the median be used to make an inference about the price of the houses in the neighborhood?
Answers
Answer:
The mean
Step-by-step explanation:
The mean would allow you to make an average aka the inference about the price of houses whilst if you take the median, you're just taking the middle number from a list of numbers and not the average.
Answer: Median
Step-by-step explanation:
Median, because there is an outlier that affects the mean.
Step-by-step explanation:
The outlier is 1,110,000
As you have learned in the lesson, outliers affect means, meaning that you should not use them.
Hope this helped! ❤
Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.
Answers
Answer:
7172.6
Step-by-step explanation:
Please help I’ll give brainliest ASAP
Answers
Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
Hello could someone help me will name brainliest. No links please
Answers
Congruence Criteria for a Parallelogram's two triangles is:
ASA
HL
AAS
SSS
Answers
Answer:
ASA
Step-by-step explanation:
two angles are the same and one side is the same
PLEASE HELP QUESTION IN PICTURE
Answers
set the equations equal to each other.
4x + 8 = 7x - 4
then combine like terms
-3x = -12
then divide to isolate the x
-12/-3 = x
4 = 4
you can then plug it in to both sides to see if it is equal/correct
4(4) + 8 = 7(4) -4
16 + 8 = 28 - 4
24 = 24
Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.
Answers
Answer:
No, it is not a solution to the equation.
Step-by-step explanation:
If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.
3a +b= 8
When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],
LHS
= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]
[tex] = \frac{19}{3} + \frac{15}{3} [/tex]
[tex] = \frac{34}{3} [/tex]
[tex] \frac{34}{3} ≠8[/tex]
Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.
Given equation is 3a+b = 8
Given point = (19/9,15/3)
Put a = 19/9 and b = 15/3 in LHS of the given equation then
⇛ 3(19/9)+(15/3)
⇛(19/3)+(15/3)
⇛ (19+15)/3
⇛ 34/3 ≠ 0
LHS ≠ RHS
Given point not satisfies the given equation
Therefore, it is not the solution of the given point.
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At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?
Answers
A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.
Answers
Answer:
11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Answers
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife
Answers
A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?
Answers
Answer:
1/2
Step-by-step explanation:
12 / 24 = 1/2
Answer:
12/24
Step-by-step explanation:
use the stander rise over run since the rise is 12 it goes over the run which is 24
The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.